Internal problem ID [14441]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Review exercises, page 80
Problem number: 39.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {y^{\prime }-\sin \left (x^{2} y\right )=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 1] \end {align*}
✗ Solution by Maple
dsolve([diff(y(x),x)=sin(x^2*y(x)),y(0) = 1],y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y'[x]==Sin[x^2*y[x]],{y[0]==1}},y[x],x,IncludeSingularSolutions -> True]
Not solved